A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations
General Relativity and Quantum Cosmology
2025-10-06 v3 Numerical Analysis
Numerical Analysis
Abstract
In this work, based on the decomposition in [24, 33], we present a fully exterior calculus breakdown of spacetime and Einstein's equations. Links to the orthonormal frame approach [38] are drawn to help understand the variables in this context. Two formulations are derived, discretised and tested using the exterior calculus discrete de Rham complex [13], and some discrete quantities are shown to be conserved in one of the cases.
Cite
@article{arxiv.2505.00286,
title = {A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations},
author = {Todd A. Oliynyk and Jia Jia Qian},
journal= {arXiv preprint arXiv:2505.00286},
year = {2025}
}